4,131,204

2² × 3 × 7 × 11 × 17 × 263

4,131,204 has the prime decomposition 2^2 × 3 × 7 × 11 × 17 × 263. Its 6 distinct prime factors produce 96 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 7 × 11 × 17 × 263

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 12,773,376

Proper Divisor Sum 8,642,172

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #4131109 ← → #4131223

Radix Representation

Decimal	4131204
Binary	1111110000100110000100 (22 bits)
Octal	0o17604604
Hexadecimal	0x3F0984

Divisor Catalog (60 of 96)

1 2 3 4 6 7 11 12 14 17 21 22 28 33 34 42 44 51 66 68 77 84 102 119 132 154 187 204 231 238 263 308 357 374 462 476 526 561 714 748 789 924 1,052 1,122 1,309 1,428 1,578 1,841 2,244 2,618 2,893 3,156 3,682 3,927 4,471 5,236 5,523 5,786 7,364 7,854

Collatz Trajectory (105 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

4,131,204 2,065,602 1,032,801 3,098,404 1,549,202 774,601 2,323,804 1,161,902 580,951 1,742,854 871,427 2,614,282 1,307,141 3,921,424 1,960,712 980,356 490,178 245,089 735,268 367,634 183,817 551,452 275,726 137,863 413,590 206,795 620,386 310,193 930,580 465,290 232,645 697,936 348,968 174,484 87,242 43,621 130,864 65,432 32,716 16,358 8,179 24,538 12,269 36,808 18,404 9,202 4,601 13,804 6,902 3,451 10,354 5,177 15,532 7,766 3,883 11,650 5,825 17,476 8,738 4,369

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